Option Of The Method Of Successive Approximations In Calculating The Epicenters Of Extreme And Emergency Situations

Abstract

The mechanics of aspiration flows formation is considered in the paper as an additional safety mechanism. A solution to nonlinear differential equation describing the equilibrium of a closed cylindrical shell subject to axisymmetric radial pressure is obtained in the framework of strain theory of plasticity and on the basis of an option of the method of successive approximations for calculating the epicenters of emergency phenomena. It is assumed that the nonlinear components related to the ring strength of plastic zones are located near the shell edges of the surrounding operative environment. The problem solutions are generalized for the case when the nonlinear components of the ring strength of the zone of emergency phenomena as a plastic zone are located near the shell of the operative headquarters created in an emergency. As a result of the studies, the plastic state of the shell between the linear state and the state of limit equilibrium of the zone of emergency is determined. This makes it possible to confine the center of extreme and emergency situations zone. The test results conducted for various building structures are given. It is proposed to use the knowledge of aspiration flows strength as an additional safety mechanism, as an option of additional fire safety mechanism.